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Finding the Fourth Proportional to 55,924.26, 83,825.75 and 27,865.26

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Solution

The fourth proportional to 55,924.26, 83,825.75 and 27,865.26 is: 41,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924.26 : 83,825.75 = 27,865.26 : x
  2. Step 2: Convert to fraction form
    55,924.26/83,825.75 = 27,865.26/x
  3. Step 3: Cross multiply
    55,924.26x = 83,825.75 × 27,865.26
  4. Step 4: Simplify right side
    55,924.26x = 2,335,826,318.45
  5. Step 5: Solve for x
    x = 2,335,826,318.45/55,924.26
  6. Step 6: Final answer
    x = 41,767.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.